A reformulation of the shallow water equations enables staggered DG fluxes whose non-conservative terms vanish at equilibrium, allowing node-wise subcell limiting that remains exactly well-balanced.
arXiv preprint arXiv:2508.21226 (2025)
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Multiple artificial viscosities with analytical optimal parameters enable more flexible entropy-stable DG simulations than monolithic viscosity for 1D and 2D problems.
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Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations
A reformulation of the shallow water equations enables staggered DG fluxes whose non-conservative terms vanish at equilibrium, allowing node-wise subcell limiting that remains exactly well-balanced.
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Entropy correction artificial viscosity for high order DG methods using multiple artificial viscosities
Multiple artificial viscosities with analytical optimal parameters enable more flexible entropy-stable DG simulations than monolithic viscosity for 1D and 2D problems.